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Heteroclinic switching between chimeras.

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Functional oscillator networks exhibit state switching. Higher-order interactions create metastable chimeras, enabling global dynamics through heteroclinic connections in phase oscillator networks.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Computational neuroscience

Background:

  • Neuronal networks and other functional oscillator systems display switching between metastable states.
  • Understanding the mechanisms driving these global dynamics is crucial for comprehending complex system behavior.

Purpose of the Study:

  • To provide exact results on how global dynamics emerge in phase oscillator networks.
  • To elucidate the role of higher-order interactions and metastable chimeras in state switching.
  • To identify the underlying mechanisms of switching dynamics in experimentally accessible networks.

Main Methods:

  • Analysis of paradigmatic phase oscillator networks.
  • Investigation of higher-order network interactions.
  • Characterization of metastable chimeras and heteroclinic connections.

Main Results:

  • Exact results demonstrate that higher-order network interactions generate metastable chimeras.
  • Metastable chimeras are linked by heteroclinic connections, facilitating global dynamics.
  • The study illuminates the specific mechanisms responsible for the observed switching dynamics.

Conclusions:

  • Higher-order interactions are key to generating complex dynamics in oscillator networks.
  • Metastable chimeras and heteroclinic connections provide a framework for understanding state switching.
  • The findings offer insights into the dynamics of neuronal networks and other complex systems.